Develop matlab monte carlo queuing simulator, MATLAB Programming

Answers should be submitted in an MS Word document. Simulations should accompany answers in a separate MATLAB file.

1)  Queuing Simulator: Consider a communications router that can route (service) EXACTLY 800 messages per second (mps).

  • Assume that messages arrive at an AVERAGE rate of 850 messages per second.
  • Assume that the arriving messages follow an exponential distribution, while the routing (service) times are constant.

a.  Develop and submit a MATLAB Monte Carlo Queuing Simulator that will:

  • Graphically show the number of messages in the queue as a function of time. Provide a screen shot in this word document.
  • In text show the average number of messages in the queue and the average time a message spends waiting in the queue. Provide a screen shot in this word document.
  • Note: you will have to modify the MC Queuing simulator attached

b.  Run your simulation for the arrival and routing (service) rates indicated above for a total of 4000 messages. Provide a screen shot of the results.

c.  Does the queue appear stable from the output? Explain.

d. Does this make sense? Explain. (Hint: look at arrival rates and servicing rates)

2) Queuing Model Questions: Consider a car repair shop a with the following characteristics:

  • 6 customers arrive per hour
  • 4 mechanics
  • Each mechanic is capable of servicing 2 customers per hour
  • Assume that arrival times and service times are exponentially distributed.

a.  How would you represent the system using Kendall's notation?

b.  Calculate:

a.  The utilization factor for the system.

b.  Is the queue stable or unstable? Why or why not?

c.  The average number of customers in the queue.

d. The average number of customers in the system.

e. The average wait time in the queue.

f.  The average wait time in the system.

c.  What is the probability the 3 or fewer more customers will show up in the first hour?

3)  RAM Questions: Consider two years of driving your car.

  • You drive an average of 1 hour a day for 300 days a year.
  • Over this period of time you have experienced 3 malfunctions that have necessitated taking the car in for servicing.
  • When you take the car in for servicing, you spent an average of 3 hours waiting for the car to be repaired.

a.  What is the mean time between failures for your car?

b.  What is the reliability of your car over a 1 year period?

c.  What is the mean down time for your car?

d.  What is the availability of your car?

Posted Date: 3/26/2013 1:40:16 AM | Location : United States







Related Discussions:- Develop matlab monte carlo queuing simulator, Assignment Help, Ask Question on Develop matlab monte carlo queuing simulator, Get Answer, Expert's Help, Develop matlab monte carlo queuing simulator Discussions

Write discussion on Develop matlab monte carlo queuing simulator
Your posts are moderated
Related Questions
This assignment is designed to compare performance between Matlab and Excel for performing nonlinear regression analysis of a set of data. There are two data sets in the accompa

Linear indexing: This is termed as linear indexing. It is generally much better style when working with the matrices to refer to the row and column indices, although. An in

Write a MATLAB program that calculates the arithmetic mean, the geometric mean, and the root-mean-square average for a given set of values. Your program must use 3 functions t

Statement of Problem I need to realise vector-array multiplication in Simulink. This has been realised in Matlab but because the process yielding the received signal is in Simu

Write a Matlab function that computes y1= tan(x) and y2= sin(x)/cos(x), returns the difference |y1–y2| and prints a message whether the two are equal or not. Test your function for


Barrier Option pricing in Matlab using MC simulation or finite difference methods

Illustration to logical function: In addition to such logical operators, the MATLAB also has a function xor, that is the exclusive or function. It returns the logical true if

http://messenger.providesupport.com/messenger/ae.html?ps_s=U4nFMQo4BP04

i am doing my project on matlab and the topic of my project is invisible watermarking.How we can extract all pixel values of image in binary form.